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/*
* Test for the vectorial Poisson equation for a discontinuous non-compact source
*/
/*
* Copyright (c) 2000-2001 Philippe Grandclement
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* LORENE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
char vect_inf_C[] = "$Header: /cvsroot/Lorene/Codes/Test/Poisson_vect/vect_inf.C,v 1.3 2014/10/06 15:12:55 j_novak Exp $" ;
/*
* $Id: vect_inf.C,v 1.3 2014/10/06 15:12:55 j_novak Exp $
* $Log: vect_inf.C,v $
* Revision 1.3 2014/10/06 15:12:55 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2003/01/09 11:07:56 j_novak
* headcpp.h is now compliant with C++ norm.
* The include files have been ordered, as well as the local_settings_linux
*
* Revision 1.1.1.1 2001/11/20 15:19:31 e_gourgoulhon
* LORENE
*
* Revision 1.1 2000/02/15 14:57:18 phil
* Initial revision
*
*
* $Header: /cvsroot/Lorene/Codes/Test/Poisson_vect/vect_inf.C,v 1.3 2014/10/06 15:12:55 j_novak Exp $
*
*/
// LORENE
#include "type_parite.h"
#include "nbr_spx.h"
#include "grilles.h"
#include "map.h"
#include "valeur.h"
#include "utilitaires.h"
#include "coord.h"
#include "cmp.h"
#include "graphique.h"
#include "proto.h"
#include "tenseur.h"
#include "base_vect.h"
#include "param.h"
//standard
#include <ctime>
#include <cstdlib>
#include <cstdio>
#include <cmath>
void main() {
int symetrie = NONSYM ;
double lambda = 1./3. ;
int n=4 ;
// Construction de la grille ...
int nz = 3 ;
double R = (nz-1) ;
//Construction du mapping :
double* bornes = new double[nz+1] ;
for (int i=0 ; i<nz ; i++)
bornes[i] = i ;
bornes[nz] = __infinity ;
// echantillonnage en phi :
int* np = new int [nz] ;
for (int l=0 ; l<nz ; l++)
np[l] = 8 ;
int type_p = symetrie ;
// echantillonnage en theta :
int* nt = new int [nz] ;
for (int l=0 ; l<nz ; l++)
nt[l] = 9 ;
int type_t = SYM ;
int* nr = new int[nz] ;
int* type_r = new int[nz] ;
int nbrer ;
cin >> nbrer ;
// echantillonage en r :
for (int l=0 ; l<nz ; l++)
nr[l] = nbrer ;
type_r[0] = RARE ;
for (int l=1 ; l<nz-1 ; l++)
type_r[l] = FIN ;
type_r[nz-1] = UNSURR ;
Mg3d grille (nz, nr, type_r, nt, type_t, np, type_p) ;
Map_af mapping(grille, bornes) ;
// Construction de la source .
Coord& x = mapping.x ;
Coord& y = mapping.y ;
Coord& z = mapping.z ;
Coord& r = mapping.r ;
Mtbl a_cont (&grille) ;
a_cont = -(4.+n)/2./pow(R, 6.+n) ;
Mtbl b_cont (&grille) ;
b_cont = (6.+n)/2./pow(R, 4.+n) ;
// Composante x
Valeur val_x(&grille) ;
val_x = x*((54+18*lambda)*a_cont*pow(r, 4.)+
(28+12*lambda)*b_cont*pow(r, 2.))
+ lambda*pow(x, 3.)*(24*a_cont*pow(r, 2.)+8*b_cont) ;
// ZEC ...
Valeur val_x_zec(&grille) ;
val_x_zec = n*(n-3-3*lambda)*x/pow(r, n)+
n*(n+2)*lambda*pow(x, 3.)/pow(r, n+2.) ;
for (int k=0 ; k<np[nz-1] ; k++)
for (int j=0 ; j<nt[nz-1] ; j++)
val_x_zec.set(nz-1, k, j, nr[nz-1]-1) = 0. ;
*(val_x.c->t[nz-1]) = *(val_x_zec.c->t[nz-1]) ;
// Composante y
Valeur val_y(&grille) ;
val_y = lambda*y*(6*a_cont*pow(r, 4.)+4*b_cont*pow(r, 2.))
+lambda*pow(x, 2.)*y*(24*a_cont*pow(r, 2.)+8*b_cont);
// ZEC ...
Valeur val_y_zec(&grille) ;
val_y_zec = -lambda*n*y/pow(r, n)+lambda*n*(n+2)*pow(x, 2.)*y/pow(r, n+2.) ;
for (int k=0 ; k<np[nz-1] ; k++)
for (int j=0 ; j<nt[nz-1] ; j++)
val_y_zec.set(nz-1, k, j, nr[nz-1]-1) = 0. ;
*(val_y.c->t[nz-1]) = *(val_y_zec.c->t[nz-1]) ;
// Composante z
Valeur val_z(&grille) ;
val_z = lambda*z*(6*a_cont*pow(r, 4.)+4*b_cont*pow(r, 2.))
+lambda*pow(x, 2.)*z*(24*a_cont*pow(r, 2.)+8*b_cont);
// ZEC ...
Valeur val_z_zec(&grille) ;
val_z_zec = -lambda*n*z/pow(r, n)+lambda*n*(n+2)*pow(x, 2.)*z/pow(r, n+2.) ;
for (int k=0 ; k<np[nz-1] ; k++)
for (int j=0 ; j<nt[nz-1] ; j++)
val_z_zec.set(nz-1, k, j, nr[nz-1]-1) = 0. ;
*(val_z.c->t[nz-1]) = *(val_z_zec.c->t[nz-1]) ;
// On construit le vecteur ...
Tenseur source (mapping, 1, CON, mapping.get_bvect_cart()) ;
source.set_etat_qcq() ;
source.set(0) = val_x ;
source.set(1) = val_y ;
source.set(2) = val_z ;
for (int i=0 ; i<3 ; i++)
source.set(i).set_dzpuis(2) ;
source.set_std_base() ;
// On construit la solution analytique
// Composante x
Valeur sol_x(&grille) ;
sol_x = x*(a_cont*pow(r, 6.)+b_cont*pow(r, 4.)) ;
// ZEC ...
Valeur sol_x_zec(&grille) ;
sol_x_zec = x/pow(r, n) ;
for (int k=0 ; k<np[nz-1] ; k++)
for (int j=0 ; j<nt[nz-1] ; j++)
sol_x_zec.set(nz-1, k, j, nr[nz-1]-1) = 0. ;
*(sol_x.c->t[nz-1]) = *(sol_x_zec.c->t[nz-1]) ;
// On construit le vecteur ...
Tenseur soluce(mapping, 1, CON, mapping.get_bvect_cart()) ;
soluce.set_etat_qcq() ;
soluce.set(0) = sol_x ;
soluce.set(1) = 0 ;
soluce.set(2) = 0 ;
for (int i=0 ; i<3 ; i++)
soluce.set(i).set_dzpuis(0) ;
soluce.set_std_base() ;
Tenseur vect_auxi (mapping, 1, CON, mapping.get_bvect_cart()) ;
vect_auxi.set_etat_qcq() ;
Tenseur scal_auxi (mapping) ;
scal_auxi.set_etat_qcq() ;
Tenseur shibata (source.poisson_vect(lambda, vect_auxi, scal_auxi)) ;
cout << "Shibata" << endl ;
for (int i=0 ; i<3 ; i++)
cout << "Composante " << i << " : " <<
diffrelmax(shibata(i), soluce(i)) << endl ;
cout <<"-------------------------------------------" << endl ;
delete [] nr ;
delete [] nt ;
delete [] np ;
delete [] type_r ;
delete [] bornes ;
}
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